Dual fermion dynamical cluster approach for strongly correlated systems

ORAL

Abstract

A multi-scale many-body approach is developed for strongly-correlated electron systems by combining the dynamical cluster approximation (DCA) and the recently introduced dual fermion formalism. This approach systematically incorporates non-local corrections to the DCA by employing an exact mapping from a real lattice to a DCA cluster of linear size Lc embedded in a dual fermion lattice. The Green function in the dual space serves as a small parameter enabling the use of a diagrammatic perturbation calculation on the dual fermion lattice. For example, the dual fermion self-energy calculated with simple second-order perturbation theory scales as ${\cal{O}}(1/L_c^3)$. We demonstrate the effectiveness of the approach by applying it to the 2D Hubbard model.

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Authors

  • Shuxiang Yang

    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Herbert Fotso

    • Georgetown University
    • Department of Physics, Georgetown University

  • Hartmut Hafermann

    • Centre de Physique Theorique, Ecole Polytechnique
    • Centre de Physique Theorique, Ecole Polytechnique, CNRS, France

  • Ka-Ming Tam

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Louisiana State University (LSU)
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Juana Moreno

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Thomas Pruschke

    • Department of Physics, University of Goettingen, Germany

  • Mark Jarrell

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA
    • Louisiana State University (LSU)
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University